A homology criterion for partial cross-sections of Anosov flows is established along with a finiteness result, implying every Anosov flow on a 3-dimensional hyperbolic manifold is homologically full.
Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove that in dimension 3, Anosov flows which are $\mathbb{R}$-covered and skewed are orbit equivalent to Reeb-Anosov flows. We characterize the existence of an invariant contact form or of a Birkhoff section with a given boundary, in terms of linking numbers between two invariant signed measures. Furthermore, we prove the existence of open book decompositions with one boundary component for Reeb-Anosov flows.
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Partial section III: for Anosov flows
A homology criterion for partial cross-sections of Anosov flows is established along with a finiteness result, implying every Anosov flow on a 3-dimensional hyperbolic manifold is homologically full.